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13445652444 = 22371731378209
BaseRepresentation
bin11001000010110110…
…00101111111011100
31021201001100220200120
430201123011333130
5210014041334234
610102110554540
7654124105620
oct144133057734
937631326616
1013445652444
11577a7a1764
122732b08a50
131363808883
14917a15180
1553a632049
hex3216c5fdc

13445652444 has 192 divisors, whose sum is σ = 40252907520. Its totient is φ = 3404021760.

The previous prime is 13445652431. The next prime is 13445652469. The reversal of 13445652444 is 44425654431.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a junction number, because it is equal to n+sod(n) for n = 13445652396 and 13445652405.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1633812 + ... + 1642020.

It is an arithmetic number, because the mean of its divisors is an integer number (209650560).

Almost surely, 213445652444 is an apocalyptic number.

13445652444 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 13445652444, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20126453760).

13445652444 is an abundant number, since it is smaller than the sum of its proper divisors (26807255076).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

13445652444 is a wasteful number, since it uses less digits than its factorization.

13445652444 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8308 (or 8306 counting only the distinct ones).

The product of its digits is 921600, while the sum is 42.

The spelling of 13445652444 in words is "thirteen billion, four hundred forty-five million, six hundred fifty-two thousand, four hundred forty-four".